#pragma comment(linker, "/STACK:66777216")
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <queue>
#include <assert.h>

using namespace std;

#define AguL
#define mp make_pair
#define X first
#define Y second
#define pb push_back
#define sz(a) (int)a.size()
#define zero(a) memset (a, 0, sizeof(a))
#define sq(x) (x)*(x)

typedef long long ll;
typedef pair<int, int> pii;

int main() {
    freopen ("input.txt", "r", stdin);
    freopen ("output.txt", "w", stdout);

    return 0;
} 